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Finding the Fourth Proportional to 15,982.38, 23,975.22 and 6,129.90

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Solution

The fourth proportional to 15,982.38, 23,975.22 and 6,129.90 is: 9,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.38 : 23,975.22 = 6,129.90 : x
  2. Step 2: Convert to fraction form
    15,982.38/23,975.22 = 6,129.90/x
  3. Step 3: Cross multiply
    15,982.38x = 23,975.22 × 6,129.90
  4. Step 4: Simplify right side
    15,982.38x = 146,965,701.08
  5. Step 5: Solve for x
    x = 146,965,701.08/15,982.38
  6. Step 6: Final answer
    x = 9,195.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.